What is the slope of the line that passes through the points E(5, 1) and F(2, 7)? A) 8/3
B) 3/8
C) -3/8
D) -8/3

Using distributive property we can expand the expression as

3n - 5 = -8 x 6 + (-8) x 5n

To apply the distributive property to the equation

3n - 5 = -8(6 + 5n), we need to distribute the -8 to the terms inside the parentheses.

Using the distributive property, we have:

3n - 5 = -8 x 6 + (-8) x 5n

Simplifying further:

3n - 5 = -48 - 40n

Now, we can continue solving the equation using the simplified form as

3n + 40n = -48 + 5

43n = -43

n= -1.

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Answer:

n=-1

Step-by-step explanation:

3n-5=-8(6+5n)

3n-5=-48-40n

add 40n to both sides

43n-5=-48

n=-1

Answer:

x = -16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

10(1/2x + 2) - 5 = 3(x - 6) + 1

Step 2: Solve for x

1. Distribute:                                   5x + 20 - 5 = 3x - 18 + 1
2. Combine like terms:                   5x + 15 = 3x - 17
3. Subtract 3x on both sides:         2x + 15 = -17
4. Subtract 15 on both sides:         2x = -32
5. Divide 2 on both sides:              x = -16

Step 3: Check

Plug in x into the original equation to verify it's a solution.

1. Substitute in x:                     10(1/2(-16) + 2) - 5 = 3(-16 - 6) + 1
2. Multiply:                                10(-8 + 2) - 5 = 3(-16 - 6) + 1
3. Add/Subtract:                       10(-6) - 5 = 3(-22) + 1
4. Multiply:                                -60 - 5 = -66 + 1
5. Subtract/Add:                       -65 = -65

Here we see that -65 does indeed equal -65.

∴ x = -16 is the solution of the equation.

Answer:

x=-60

Step-by-step explanation:

You solve for x by simplifying both sides of the equation, then isolating the variable.

The Circumference of the circle will be 31.4 feet.

What is circumference of a circle?

Circumference of a circle is the perimeter of a circle.

i.e.

Circumference of a circle = 2πr

We have,

Diameter of circle= 10 feet

So,

Radius of circle feet

Now,

Using the above mentioned formula,

Circumference of a circle = 2πr

i.e.

Circumference of a circle = 2 * 3.14 * 5

So,

Circumference of a circle = 31.4 feet

Hence, we can say that the Circumference of the circle will be 31.4 feet.

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Answer:

Step-by-step explanation:

31.4 feet

Answer:

V = 1538.6 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2h  where r is the radius and h is the height

V = pi (7)^2 10

V = 3.14 (49)10

V = 1538.6 cm^3

Answer:

≈ 1539.3804

Step-by-step explanation:

V= πr²h =π*7²*10

The total distance that was run by Runners who each ran for 1/3 of a mile​ will be 4/3.

What is distance?

The distance is defined as the length of the space between the two points separated from each other.

From the graph, the distance of 1/3 miles is covered by 4 runners so the total distance will be calculated as:-

Distance = 1/3  x  4

Distance = 4/3  miles

Hence the total distance that was run by Runners who each ran for 1/3 of a mile​ will be 4/3.

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So you would do 1/3 times 4 so that is 1 and 1/3